A New Method of TLS for Solving the Parameters of Three-dimensional Coordinate Transformation
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Graphical Abstract
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Abstract
Basedonbriefintroductionofthecurrentvariouskindsofmethodsforsolvingtheparame tersofthree dimensionalcoordinatetransformation,thedefectsandshortcomingofthesemethodsaredelineated.Aimedatsolvingtheseexistingproblems,wecameupwithanewmethodtoobtaintheparametersforthree dimensionalcoordinatetransformationusinganiterativemethodoftotalleastsquaresintheEIVmodel.Themethodonlycorrectselementswhichcontainerrorsinthecoefficientmatrix.However,italsoadjuststhesameelementsindifferentpositionsofcoefficientmatrixtothesamecorrection,makingtheresultsconformmorecloselytotheactualsituation.Finally,anexamplewasconductedusingthenewmethodtosolvetheparametersforthree dimensionalcoordinatetrans formationtoverifythefeasibilityofnewmethod.
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